{"version":3,"file":"6C31-2-9idJv-Du.js","sources":["../../src/exercices/6e/6C31-2.js"],"sourcesContent":["import { choice, shuffle } from '../../lib/outils/arrayOutils'\nimport { arrondi } from '../../lib/outils/nombres'\nimport { numAlpha } from '../../lib/outils/outilString.js'\nimport { texNombre } from '../../lib/outils/texNombre'\nimport Exercice from '../deprecatedExercice.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const titre = 'Give approximate values of a decimal quotient'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\n\n/**\n * Donner des valeurs approchées d'un quotient décimale.\n *\n *\n * @author Rémi Angot\n * Référence 6C31-2\n * 2020-12-07\n */\nexport const uuid = '013ef'\nexport const ref = '6C31-2'\nexport default function ValeurApprocheeDivisionDecimale () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.nbQuestions = 1\n  this.nbCols = 1\n  this.nbColsCorr = 1\n\n  this.nouvelleVersion = function () {\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = []\n\n    for (let i = 0, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      // An irreducible fraction with a denominator that has a factor other than 2 or 5\n      // will have an infinite periodic decimal writing\n      const k1 = choice([3, 7, 11, 13])\n      const k2 = choice([3, 7, 11, 13], k1)\n      const a = choice([3, 5, 7, 11, 13], [k1, k2]) * choice([3, 5, 7, 11, 13], [k1, k2])\n      const b = k1 * k2\n      const q = arrondi(a / b, 6)\n      texte = `We know that $${a}\\\\div${b}\\\\approx${texNombre(q)}$.<br>Complete the following sentences.`\n      const listeDeQuestions1 = [\n        [`The default approximate value of $${a}\\\\div${b}$ to the nearest tenth is:`, arrondi(a / b - 0.05, 1)],\n        [`The approximate value by excess of $${a}\\\\div${b}$ to the nearest tenth is:`, arrondi(a / b + 0.05, 1)],\n        [`The default approximate value of $${a}\\\\div${b}$ to the nearest hundredth is:`, arrondi(a / b - 0.005, 2)],\n        [`The truncation of $${a}\\\\div${b}$ to the nearest hundredth is:`, arrondi(Math.floor(a / b * 100) / 100, 2)],\n        [`The approximate value by excess of $${a}\\\\div${b}$ to the nearest hundredth is:`, arrondi(a / b + 0.005, 2)],\n        [`The default approximate value of $${a}\\\\div${b}$ to the nearest thousandth is:`, arrondi(a / b - 0.0005, 3)],\n        [`The truncation of $${a}\\\\div${b}$ to the nearest thousandth is:`, arrondi(Math.round(a / b * 1000) / 1000, 3)],\n        [`The approximate value by excess of $${a}\\\\div${b}$ to the nearest thousandth is:`, arrondi(a / b + 0.0005, 3)]\n      ]\n      const listeDeQuestions2 = [\n        [`The value of $${a}\\\\div${b}$ rounded to the nearest tenth is:`, arrondi(a / b, 1)],\n        [`The rounded value of $${a}\\\\div${b}$ to the nearest hundredth is:`, arrondi(a / b, 2)],\n        [`The rounded value of $${a}\\\\div${b}$ to the nearest thousandth is:`, arrondi(a / b, 3)]\n      ]\n\n      texteCorr = `We know that $${a}\\\\div${b}\\\\approx${texNombre(q)}$.`\n      // Questions can be defect, excess or excess, defect or truncation, excess or excess, truncation\n      const choix = randint(1, 4)\n      switch (choix) {\n        case 1:\n          texte += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[0][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i, listeDeQuestions1[0][1])\n          texte += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[4][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i + 1, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i + 1, listeDeQuestions1[4][1])\n          texteCorr += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[0][0]} $ ${texNombre(listeDeQuestions1[0][1])}$`\n          texteCorr += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[4][0]} $ ${texNombre(listeDeQuestions1[4][1])}$`\n          break\n        case 2:\n          texte += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[1][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i, listeDeQuestions1[1][1])\n          texte += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[5][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i + 1, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i + 1, listeDeQuestions1[5][1])\n          texteCorr += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[1][0]} $ ${texNombre(listeDeQuestions1[1][1])}$`\n          texteCorr += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[5][0]} $ ${texNombre(listeDeQuestions1[5][1])}$`\n          break\n        case 3:\n          texte += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[3][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i, listeDeQuestions1[3][1])\n          texte += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[7][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i + 1, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i + 1, listeDeQuestions1[7][1])\n          texteCorr += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[3][0]} $ ${texNombre(listeDeQuestions1[3][1])}$`\n          texteCorr += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[7][0]} $ ${texNombre(listeDeQuestions1[7][1])}$`\n          break\n        case 4:\n          texte += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[4][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i, listeDeQuestions1[4][1])\n          texte += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[7][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i + 1, 'largeur10 inline') : '\\\\ldots'}`\n          setReponse(this, 4 * i + 1, listeDeQuestions1[7][1])\n          texteCorr += `<br><br> ${numAlpha(0)} ${listeDeQuestions1[4][0]} $ ${texNombre(listeDeQuestions1[4][1])}$`\n          texteCorr += `<br><br> ${numAlpha(1)} ${listeDeQuestions1[7][0]} $ ${texNombre(listeDeQuestions1[7][1])}$`\n          break\n      }\n      shuffle(listeDeQuestions2)\n\n      texte += `<br><br> ${numAlpha(2)} ${listeDeQuestions2[0][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i + 2, 'largeur10 inline') : '\\\\ldots'}`\n      setReponse(this, 4 * i + 2, listeDeQuestions2[0][1])\n      texte += `<br><br> ${numAlpha(3)} ${listeDeQuestions2[1][0]} ${this.interactif ? ajouteChampTexteMathLive(this, 4 * i + 3, 'largeur10 inline') : '\\\\ldots'}`\n      setReponse(this, 4 * i + 3, listeDeQuestions2[1][1])\n\n      texteCorr += `<br><br> ${numAlpha(2)} ${listeDeQuestions2[0][0]} $ ${texNombre(listeDeQuestions2[0][1])}$`\n      texteCorr += `<br><br> ${numAlpha(3)} ${listeDeQuestions2[1][0]} $ ${texNombre(listeDeQuestions2[1][1])}$`\n\n      if (this.questionJamaisPosee(i, a, b, q)) {\n        // If the question has never been asked, we create another one\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this)\n  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